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On solutions of a generalized neutral logistic differential equation
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We study a generalized neutral logistic differential equation with deviating argument. Using the classical Banach contraction principle on an equivalent nonlinear functional integral equation we establish the existence of a unique solution in a certain function space. A few examples along with a numerical solutions are presented.
Abstract
We study a generalized neutral logistic differential equation with deviating argument. Using the classical Banach contraction principle on an equivalent nonlinear functional integral equation we establish the existence of a unique solution in a certain function space. A few examples along with a numerical solutions are presented.
참고문헌 (10)
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- K. Gopalsamy, "On a neutral delay logistic equation", Dynamic Stability Systems, 2, pp.183~195 (1988)
- Y. Kuang, "On neutral delay logistic Gause-type predator-prey systems", Dynamic Stability Systems, 6, pp.173~189 (1991)
- Y. Kuang, "Global stability in one or two species neutral delay population models", Canad. Appl. Math. Quart., 1, pp.23~45 (1993)
- Y. Kuang, "Delay Differential Equations with Applications to Population Dynamic" (1994), Aca-demic Press
- T. Zhao, "Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems", Nonlin. Anal. TMA, 28, pp.1373~1394 (1997)
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